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Simplifying 0.2(4y + -3) = 0.6(4y + -1) Reorder the terms: 0.2(-3 + 4y) = 0.6(4y + -1) (-3 * 0.2 + 4y * 0.2) = 0.6(4y + -1) (-0.6 + 0.8y) = 0.6(4y + -1) Reorder the terms: -0.6 + 0.8y = 0.6(-1 + 4y) -0.6 + 0.8y = (-1 * 0.6 + 4y * 0.6) -0.6 + 0.8y = (-0.6 + 2.4y) Add '0.6' to each side of the equation. -0.6 + 0.6 + 0.8y = -0.6 + 0.6 + 2.4y Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 0.8y = -0.6 + 0.6 + 2.4y 0.8y = -0.6 + 0.6 + 2.4y Combine like terms: -0.6 + 0.6 = 0.0 0.8y = 0.0 + 2.4y 0.8y = 2.4y Solving 0.8y = 2.4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2.4y' to each side of the equation. 0.8y + -2.4y = 2.4y + -2.4y Combine like terms: 0.8y + -2.4y = -1.6y -1.6y = 2.4y + -2.4y Combine like terms: 2.4y + -2.4y = 0.0 -1.6y = 0.0 Divide each side by '-1.6'. y = 0 Simplifying y = 0
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